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Finding the Fourth Proportional to 37,404.30, 51,605.16 and 21,270

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Solution

The fourth proportional to 37,404.30, 51,605.16 and 21,270 is: 29,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,404.30 : 51,605.16 = 21,270 : x
  2. Step 2: Convert to fraction form
    37,404.30/51,605.16 = 21,270/x
  3. Step 3: Cross multiply
    37,404.30x = 51,605.16 × 21,270
  4. Step 4: Simplify right side
    37,404.30x = 1,097,641,753.20
  5. Step 5: Solve for x
    x = 1,097,641,753.20/37,404.30
  6. Step 6: Final answer
    x = 29,345.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.